Touch the Android Market icon to open the market application. You can download free and paid applications from the Android Market for your Droid phone.
Press the magnifying glass icon in the top right corner to open a search field. You can search for applications by name or type.
Type "Adobe Flash Player" in the search bar and touch the magnifying glass on the right to begin the search. The first application in the search results will be the Adobe Flash Player. It should read "Flash Player" with "Adobe Systems" just below.
Press on the Flash Player application and tap on "Install" at the top to begin downloading and installing Adobe Flash Player. The application will install automatically after downloading.
Tap to check the box beside "Allow Automatic Updating" to automatically download and install any new updates to the Flash Player.
You can also download Adobe Air and Adobe Reader free from the Android Market.